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Finding the Third Proportional to 22,310.44 and 32,848.03

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Solution

The third proportional to 22,310.44 and 32,848.03 is: 48,362.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,310.44 : 32,848.03 = 32,848.03 : x
  2. Step 2: Convert to fraction form
    22,310.44/32,848.03 = 32,848.03/x
  3. Step 3: Cross multiply
    22,310.44x = 32,848.03 × 32,848.03
  4. Step 4: Simplify right side
    22,310.44x = 1,078,993,157.00
  5. Step 5: Solve for x
    x = 1,078,993,157.00/22,310.44
  6. Step 6: Final answer
    x = 48,362.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.